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根据基础振动弹性半空间理论的最新发展成果推导出一个计算埋置基础滑移振动的复合集总参数模型。采用该模型对复杂形状的埋置块体基础在水平谐和扰力作用下的动力响应进行计算,并将振幅计算结果与采用弹性半空间理论所得到的埋置基础滑移振动刚度和阻尼系数公式(由大量试验、数值计算所证实)的振幅计算结果进行比较,结果表明:两者结果吻合,振幅误差为22.9%。利用该模型可以容易地计算在水平扰力作用下任意频率、任意泊松比和任意形状(不包括环型)的均质半空间上块体埋置基础的动力响应。
According to the latest development achievements of the fundamental half-space vibration theory, a composite lumped parameter model for calculating the basic sliding vibration is deduced. This model is used to calculate the dynamic response of embedding block with complex shape under horizontal harmonic disturbance. The results of amplitude calculation are compared with those obtained by using elastic half-space theory. (Calculated by a large number of experiments and numerical calculations) are compared. The results show that the two agree well with the amplitude error of 22.9%. The model can be used to easily calculate the dynamic response of a block-embedded foundation in a homogeneous half-space with arbitrary frequency, arbitrary Poisson’s ratio and arbitrary shape (excluding the ring type) under horizontal disturbances.